import numpy as np
R0s_mapping = R0s = np.linspace(0.2,10,100)
GR_mapping = [-0.17576, -0.15435, -0.12755, -0.10184, -0.07822, -0.05661, -0.03675, -0.01837,
 -0.00126,  0.01477,  0.02987,  0.04414,  0.05769,  0.0706,   0.08293,  0.09474,
  0.10609,  0.117,    0.12753,  0.13769,  0.14752,  0.15705,  0.16628,  0.17526,
  0.18398,  0.19247,  0.20074,  0.2088,   0.21667,  0.22436,  0.23187,  0.23922,
  0.2464,   0.25345,  0.26034,  0.26711,  0.27374,  0.28025,  0.28664,  0.29292,
  0.29909,  0.30516,  0.31112,  0.31699,  0.32277,  0.32845,  0.33405,  0.33957,
  0.345,    0.35036,  0.35564,  0.36085,  0.36599,  0.37106,  0.37606,  0.38101,
  0.38588,  0.3907,  0.39546,  0.40016,  0.4048,  0.4094,  0.41393,  0.41842,
  0.42286,  0.42725,  0.43159,  0.43588,  0.44013,  0.44434,  0.4485,  0.45262,
  0.45669,  0.46073,  0.46473,  0.46869,  0.47261,  0.47649,  0.48034,  0.48415,
  0.48792,  0.49167,  0.49537,  0.49905,  0.50269,  0.50629,  0.50987,  0.51341,
  0.51692,  0.52041,  0.52386,  0.52728,  0.53067,  0.53403,  0.53736,  0.54066,
  0.54393,  0.54718,  0.55039,  0.55357,]
